Question
A polygon has 44 diagonals. How many sides does this
polygon have?Solution
The number of diagonals for a polygon having ‘n’ sides is given by n * (n - 3)/2. ⇒ n (n - 3)/2 = 44 ⇒ n² - 3n - 88 = 0 ⇒ (n - 11) (n + 8) = 0 ⇒ n = 11
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